An elementary proof for the Rao-Rubin characterization of the Poisson distribution

Author:

Shanbhag D. N.

Abstract

This note gives elementary proofs for the characterizations of the Poisson distribution given by Rao and Rubin (1964) and Talwalker (1970) and disproves a conjecture of R. C. and A. B. L. Srivastava (1970).

Publisher

Cambridge University Press (CUP)

Subject

Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability

Reference5 articles.

1. On a characterization of Poisson distribution

2. On a characterization of the Poisson distribution;Rao;Sankhya A,1964

3. A characterization of the double Poisson distribution;Talwalker;Sankya A,1970

4. On a characterization of Poisson distributions

5. Anote on a functional equation for the generating function of the Poisson distribution;Van Der Vaart;Sankhya A,1972

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